We look at the division of 517624 by 74 
We want to figure out the number of times 517624 can be divided by 74.

Step 1:
If we divide 5 by 74, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 74

Step 2:
When dividing 51 by 74, we get 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 74

Moving on to step 3:
74 goes into 517 6 times with a remainder of 73.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 444 from 517, we get 73.
Include the next digit (6) from the dividend after 73, then repeat: 736 / 74

Moving on to step 4:
If we divide 736 by 74, we get 9 and a remainder of 70.
Use 9 as the next digit of our solution. 
Result so far: 69.0
The remainder is 70 after subtracting 666 from 736.
Fetch the next digit (2) from the dividend, attach it to 70 and continue: 702 / 74

Moving on to step 5:
74 can be fit into 702 9 times, resulting in a remainder of 36.
The number 9 becomes the next digit in our result. 
Result so far: 699.0
Subtracting 666 from 702 leaves us with 36.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 74

Let's proceed to step 6:
The number 74 fits into 364 4 times, leaving a remainder of 68.
Put 4 as the next digit of the answer. 
Result so far: 6994.0
If we take 296 away from 364, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 7:
74 goes into 680 9 times with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 6994.9
The remainder is 14 after subtracting 666 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 74, we get 1 and a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 6994.91
Subtracting 74 from 140 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 9:
74 goes into 660 8 times with a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 6994.918
Deduct 592 from 660 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 10:
680 divided by 74 is 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 6994.9189
Subtract 666 from 680 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
When dividing 140 by 74, we get 1 with a remainder of 66.
Use 1 as the next digit of our solution. 
Result so far: 6994.91891
Subtracting 74 from 140 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 12:
The number 74 fits into 660 8 times, leaving a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 6994.918918
The remainder is 68 after subtracting 592 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 13:
The number 74 fits into 680 9 times, leaving a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 6994.9189189
Subtracting 666 from 680 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
If we divide 140 by 74, we get 1 and a remainder of 66.
Record the quotient 1 as the next digit in the result. 
Result so far: 6994.91891891
If we take 74 away from 140, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

After the division, we end up with 6994.91891891 and a remainder of 6.6e-08.